Q:

# WILL GIVE BRAINLY TO CORRECT ANSWERS!!!!How can we create equations in one variable and use them to solve problems?How can we create equations in two variables to represent relationships between quantities? How do equations or inequalities help us understand how to interpret whether a solution is possible for a particular real-world situation?If I have an even integer on a number which we will call ‘x’, what could youcall the next consecutive number and the next consecutive even integer on the number line? Why does the inequality sign have to be flipped when multiplying and dividing by a negative number like in −2x &gt; 10? (MP3) Explain the steps in solving the following absolute value equation. 2|x−2|=12. (MP6, 7)How do you show where an inequality is true on a number line? Describe the differences between conjunctions and disjunctions. How is solving a literal equation different from solving a one- or two-step equation? (MP6)Rubric attached

Accepted Solution

A:
You could create equations in one variable, possibly doing something like this:2x, and in a real world situation, this could be like 2x = 10, and this could solve a problem like:

Jim is payed 10 dollars for working 2 hours. How much is he paid per hour?
Then the answer would be 5 dollars an hour.

We can create equations in two variables to represent relationships by doing something like 2x = 3y + x, something like that.

For your third one, equations/inequalities help us understand because once you simplify, then you can tell if it is actually applicable to a specific situation.

We would call the next number y, which should be x = y+2.

This would have to be flipped if you find your answer is not accurate, or if you are told to correct the equation, or leave it as is if it is correct.

The steps in finding that would be: okay, so divide both sides by 2, then you get |x-2|=6, and we find that x is -4.

You would put a dot on the number, say, actually, and example would be: x>3, and then you would put a dot, but don't shade it in, to show that is not a solution, then you would shade in the rest of the number line pointing to the right, because this is not a less than problem.

A conjunction is a statement that is labeled with 'and', has to be true, and a disjunction is labeled with or, and one of the values is correct/bigger.

A literal equation is different because there could be many steps, possibly 3 or more, which is definitely different from an one or two step equation.

Hope this helps!